{
  "id": "1410.0193",
  "version": "v1",
  "published": "2014-10-01T12:04:33.000Z",
  "updated": "2014-10-01T12:04:33.000Z",
  "title": "Nullity distributions associated with Chern connection",
  "authors": [
    "Nabil L. Youssef",
    "S. G. Elgendi"
  ],
  "comment": "15 pages, LaTeX file. arXiv admin note: substantial text overlap with arXiv:1210.8359",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "The Klein-Grifone approach to global Finsler geometry is adopted. The nullity distributions of the two curvature tensors \\, $\\overast{R}$ and $\\overast{P}$ of Chern connection are investigated. The completeness of the nullity foliation associated with the nullity distribution $\\N_{R^\\ast}$ is proved. Two counterexamples are given. The fitst shows that $\\N_{R^\\ast}$ dose not coincide with the kernel distribution of \\, $\\overast{R}$. The second shows that $\\N_{P^\\ast}$ is not completely integrable and, as a by-product, it provides an example of a Landesbergian non Berwaldian space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-01T12:04:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53C60",
      "53B40",
      "58B20",
      "53C12"
    ],
    "keywords": [
      "nullity distributions",
      "chern connection",
      "landesbergian non berwaldian space",
      "global finsler geometry",
      "kernel distribution"
    ],
    "publication": {
      "doi": "10.5486/PMD.2016.7414"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1319627,
      "adsabs": "2014arXiv1410.0193Y"
    }
  }
}